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Finding the Fourth Proportional to 39.81, 55.05 and 34.62

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Solution

The fourth proportional to 39.81, 55.05 and 34.62 is: 47.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.81 : 55.05 = 34.62 : x
  2. Step 2: Convert to fraction form
    39.81/55.05 = 34.62/x
  3. Step 3: Cross multiply
    39.81x = 55.05 × 34.62
  4. Step 4: Simplify right side
    39.81x = 1,905.83
  5. Step 5: Solve for x
    x = 1,905.83/39.81
  6. Step 6: Final answer
    x = 47.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.